Cm is the SI unit of 

1.  Electric flux

2.  Electric potential

3.  Electric dipole moment

4.  Electric field intensity

A solid sphere of radius R has a uniform distribution of electric charge in its volume. At a distance x from its center (x<R), the electric field is directly proportional to

1.  $\frac{1}{x^2}$

2.  $\frac{1}{x}$

3.  x

4.  $x^2$

An insulated sphere of radius R has a uniform charge density $\rho$. The electric field at a distance r from the center of the sphere (r<R) is-

1.  $\frac{\rho <mspace\; width="1em"></mspace>r}{3<mspace\; width="1em"></mspace>{\epsilon }_0}$

2.  $\frac{\rho <mspace\; width="1em"></mspace>R}{3<mspace\; width="1em"></mspace>{\epsilon }_0}$

3.  $\frac{\rho <mspace\; width="1em"></mspace>r}{{\epsilon }_0}$

4.  $\frac{\rho }{{\epsilon }_0}R$

The electric flux from a cube of edge \(l\) is \(\phi\). What will be its value if the edge of the cube is made \(2l\) and the charge enclosed is halved?
1. \(\frac{1}{2}\phi\)
2. \(2\phi\)
3. \(4\phi\)
4. \(\phi\)

Three identical plates are kept as shown. Plate 1 is given -5Q charge and plate 3 is given Q charge. Electric field intensity at point x is

1.  $\frac{3Q}{A{\epsilon }_0}down$

2.  $\frac{3Q}{2A{\epsilon }_0}down$

3.  $\frac{3Q}{2A{\epsilon }_0}upward$

4.  $\frac{3Q}{A{\epsilon }_0}upward$

The equation of trajectory of a charged particle moving in xy plane in a uniform electric field maybe 

1.  y = 2x + 8

2.  x = $y^2$ + 4

3.  y = 2$x^2$ + 6

4.  All of these

A short electric dipole having dipole moment $p\hat{i}$ is placed at origin and a point charge +q is placed at point (0, r). The force on dipole due to charge is in:

1.  +x-direction

2.  -x-direction

3.  +y-direction

4.  -y-direction

A point charge \(q\) is placed at the center of the open face of a hemispherical surface as shown in the figure. The flux linked with the surface is:

1. zero
2. \(\frac{q}{2\varepsilon_0}\)
3. \(\frac{q}{\varepsilon_0}\)
4. \(q \pi r^2\)

Order of q/m ratio of the proton, $\alpha$-particle and electron is

1.  e > p > $\alpha$

2.  p > $\alpha$ > e

3.  e > $\alpha$ > p

4.  p > e > $\alpha$

A body can be negatively charged by

1.  Giving excess of electrons to it

2.  Removing some electrons from it

3.  Giving some protons to it

4.  Removing some neutrons from it